Search a number
-
+
12011320100010 = 235711311073915619
BaseRepresentation
bin1010111011001001101001…
…1101111100010010101010
31120112021022112211202200210
42232302122131330102222
53033243140421200020
641313531351041550
72346534465201360
oct256623235742252
946467275752623
1012011320100010
113910a77075560
12141ba5a9702b6
1369187ca31b0a
142d74cb1b5630
1515c696b3e3e0
hexaec9a77c4aa

12011320100010 has 256 divisors, whose sum is σ = 37105562419200. Its totient is φ = 2414967609600.

The previous prime is 12011320099871. The next prime is 12011320100089. The reversal of 12011320100010 is 1000102311021.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 769011981 + ... + 769027599.

It is an arithmetic number, because the mean of its divisors is an integer number (144943603200).

Almost surely, 212011320100010 is an apocalyptic number.

12011320100010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 12011320100010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18552781209600).

12011320100010 is an abundant number, since it is smaller than the sum of its proper divisors (25094242319190).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

12011320100010 is a wasteful number, since it uses less digits than its factorization.

12011320100010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26417.

The product of its (nonzero) digits is 12, while the sum is 12.

Adding to 12011320100010 its reverse (1000102311021), we get a palindrome (13011422411031).

The spelling of 12011320100010 in words is "twelve trillion, eleven billion, three hundred twenty million, one hundred thousand, ten".